Question : What is the reflection of the point (5, 3) in the line $y = –2$?
Option 1: (– 9, 3)
Option 2: (– 5, – 7)
Option 3: (– 9, – 3)
Option 4: (5, – 7)
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Correct Answer: (5, – 7)
Solution : Given: The point (5, 3) and the line $y$ = –2. We know that the only coordinate that changes when a point is reflected on the x-axis is the $y$ coordinate. The line $y$ = –2 is perpendicular to the x-axis and the reflection will not change the $x$ coordinate. The distance between the reflected point and the line will now equal the distance between the original point and the line along the y-direction. The $y$ direction distance between a point and a line equals $|3–(–2)|=5$ unit. The $y$ coordinate of reflection equals –2–5 = –7 The reflection point is (5, –7). Hence, the correct answer is (5, –7).
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Question : What is the reflection of the point (5, – 2) in the line $x$ = – 1?
Option 1: (– 7, – 2)
Option 2: (5, 0)
Option 3: (7, – 2)
Option 4: (5, 2)
Question : What is the reflection of the point (5, –3) in the line y = 3?
Option 1: (5, 3)
Option 2: (5, 9)
Option 3: (5, –6)
Option 4: (–5, 3)
Question : What is the reflection of the point (–3, 1) in the line $x=-2$?
Option 1: (–1, 1)
Option 2: (–3, –5)
Option 3: (1, 1)
Option 4: (–3, 5)
Question : Directions: If 1 * 2 = 1, 2 * 3 = –1 and 3 * 4 = –5, then find the value of 7 * 9 = ?
Option 1: –47
Option 2: –29
Option 3: –2
Option 4: –9
Question : Reflection of the point (4, –6) in the origin is:
Option 1: (4, 6)
Option 2: (–4, –6)
Option 3: (–4, 6)
Option 4: (4, –6)
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